Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 47, 2007, Pages 14117-14138

  Von Gehlen, G V ^a   Iorgov, N ^b   Pakuliak, S ^c,d   Shadura, V ^b   Tykhyy, Yu ^b  

^a UNIVERSITY OF BONN   (Germany)

^b BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

^c JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^d INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36348985115     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/47/006     Document Type: Article

References (20)

1. von Gehlen G, Iorgov N, Pakuliak S and Shadura V 2006 The Baxter-Bazhanov-Stroganov model: separation of variables and the Baxter equation J. Phys. A: Math. Gen. 39 7257-82 (Preprint nlin.SI/0603028)
2. q) model J. Stat. Phys. 117 1-25
3. Baxter R J 1989 Superintegrable chiral Potts model: thermodynamic properties, an inverse model, and a simple associated Hamiltonian J. Stat. Phys. 57 1-39
4. Bazhanov V V and Stroganov Yu G 1990 Chiral Potts model as a descendant of the six-vertex model J. Stat. Phys. 59 799-817
5. Baxter R J, Bazhanov V V and Perk J H H 1990 Functional relations for the transfer matrices of the Chiral Potts model Int. J. Mod. Phys. B 4 803-69
6. Baxter R J 1990 Chiral Potts model: eigenvalues of the transfer matrix Phys. Lett. A 146 110-4
7. Korepanov I G 1987 Hidden symmetries in the 6-vertex model, Chelyabinsk Polytechnical Institute Archive VINITI No 1472-V87 (in Russian)
8. Korepanov I G 1994 Hidden symmetries in the 6-vertex model of statistical physics Zapiski Nauchn. Semin. POMI 215 163-77 (Preprint hep-th/9410066)
9. Korepanov I G 1994 The method of vacuum vectors in the theory of Yang-Baxter equation Preprint nlin.SI/0010024
10. (2)- model and root-of-unity symmetry of the XXZ spin chain of higher spin J. Phys. A: Math. Theor. 40 1481-511
11. Sklyanin E K 1990 Functional Bethe Ansatz Integrable and Superintegrable Systems ed B A Kupershmidt (Singapore: World Scientific) pp 8-33
12. 2 model for N = 2 JETP Lett. 82 311-5
13. Tarasov V O 1992 Cyclic monodromy matrices for the R-matrix of the six-vertex model and the chiral Potts model with fixed spin boundary conditions Int. J. Mod. Phys. A 7 963-75
14. Kharchev S and Lebedev D 2000 Eigenfunctions of Toda chain: the Mellin-Barnes representation JETP Lett. 71 235-8
15. Babelon O 2003 Equations in dual variables for Whittaker functions Lett. Math. Phys. 65 229-40
16. Bugrij A and Lisovyy O 2003 Spin matrix elements in 2D Ising model on the finite lattice Phys. Lett. A 319 390-4 (Preprint 0708.3625)
17. Bugrij A and Lisovyy O 2004 Correlation function of the two-dimensional Ising model on a finite lattice: II Theor. Math. Phys. 140 987-1000 (Preprint 0708.3643)
18. von Gehlen G, Iorgov N, Pakuliak S, Shadura V and Tykhyy Yu 2007 Form-factors in the finite size Baxter-Bazhanov-Stroganov model: II. Ising model on the finite lattice (in preparation)
19. Bazhanov V V and Baxter R J 1992 New solvable lattice models in three dimensions J. Stat. Phys. 69 453-85
20. 2-model for N = 2 J. Phys. A: Math. Gen. 39 2265-85 (Preprint nlin.SI/0512026)